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Finding the Fourth Proportional to 165.61, 228.49 and 100.09

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Solution

The fourth proportional to 165.61, 228.49 and 100.09 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.61 : 228.49 = 100.09 : x
  2. Step 2: Convert to fraction form
    165.61/228.49 = 100.09/x
  3. Step 3: Cross multiply
    165.61x = 228.49 × 100.09
  4. Step 4: Simplify right side
    165.61x = 22,869.56
  5. Step 5: Solve for x
    x = 22,869.56/165.61
  6. Step 6: Final answer
    x = 138.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.